Question

Determine whether each pair of angles will be supplementary (adds up to 180 degrees) or congruent.


Corresponding Angles: _
Alternate Interior Angles: _
Consecutive Exterior Angles: _
Alternate Exterior Angles: _
Consecutive Interior Angles: _
Vertical Angles: _

a. Supplementary
b. Congruent

Answer 1

To determine whether each pair of angles is supplementary or congruent, we can analyze their relationships based on the properties of parallel lines and transversals, as well as the definition of vertical angles.

1. **Corresponding Angles:** b. Congruent
(When two parallel lines are crossed by a transversal, corresponding angles are equal.)

2. **Alternate Interior Angles:** b. Congruent
(When two parallel lines are crossed by a transversal, alternate interior angles are equal.)

3. **Consecutive Exterior Angles:** a. Supplementary
(When two parallel lines are crossed by a transversal, consecutive exterior angles are supplementary.)

4. **Alternate Exterior Angles:** b. Congruent
(When two parallel lines are crossed by a transversal, alternate exterior angles are equal.)

5. **Consecutive Interior Angles:** a. Supplementary
(When two parallel lines are crossed by a transversal, consecutive interior angles are supplementary.)

6. **Vertical Angles:** b. Congruent
(Vertical angles are always equal to each other, regardless of the positions of the lines.)

So, the summary would be:
- Corresponding Angles: b. Congruent
- Alternate Interior Angles: b. Congruent
- Consecutive Exterior Angles: a. Supplementary
- Alternate Exterior Angles: b. Congruent
- Consecutive Interior Angles: a. Supplementary
- Vertical Angles: b. Congruent